Atkin-Lehner |
3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83205p |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
668800 |
Modular degree for the optimal curve |
Δ |
-10695361395459375 = -1 · 316 · 55 · 433 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6152,-4977646] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-4994:1] |
Generators of the group modulo torsion |
j |
-444194947/184528125 |
j-invariant |
L |
2.1004015599662 |
L(r)(E,1)/r! |
Ω |
0.18185217993939 |
Real period |
R |
1.1550048855391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27735f1 83205i1 |
Quadratic twists by: -3 -43 |